Elliptic curves over $\Q$ of conductor 380

Results (4 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
380.a1	380a2	380.a	380a	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19 \)	\( 2^{8} \cdot 5^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$2.183906378$	$1$		$3$	$48$	$-0.105160$	$472058064/475$	$0.91565$	$4.29580$	$[0, 0, 0, -103, -402]$	\(y^2=x^3-103x-402\)	2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.?	$[(14, 30)]$
380.a2	380a1	380.a	380a	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 5 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1.091953189$	$1$		$3$	$24$	$-0.451734$	$3538944/1805$	$1.20155$	$3.00529$	$[0, 0, 0, -8, -3]$	\(y^2=x^3-8x-3\)	2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.?	$[(-1, 2)]$
380.b1	380b1	380.b	380b	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 5^{5} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$760$	$48$	$0$	$1$	$1$		$1$	$240$	$0.628373$	$5405726654464/407253125$	$0.99078$	$5.40238$	$[0, -1, 0, -921, 10346]$	\(y^2=x^3-x^2-921x+10346\)	2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.24.0.e.1, 152.12.0.?, $\ldots$	$[]$
380.b2	380b2	380.b	380b	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19 \)	\( - 2^{8} \cdot 5^{10} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$760$	$48$	$0$	$1$	$1$		$1$	$480$	$0.974947$	$298091207216/3525390625$	$0.96838$	$5.88080$	$[0, -1, 0, 884, 44280]$	\(y^2=x^3-x^2+884x+44280\)	2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.bc.1, 152.12.0.?, $\ldots$	$[]$